31001240400 has 240 divisors, whose sum is σ = 107098145280. Its totient is φ = 7620249600.

The previous prime is 31001240399. The next prime is 31001240411. The reversal of 31001240400 is 404210013.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31001240400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31001240400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21542881 + ... + 21544319.

It is an arithmetic number, because the mean of its divisors is an integer number (446242272).

Almost surely, 2^31001240400 is an apocalyptic number.

31001240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53549072640).

31001240400 is an abundant number, since it is smaller than the sum of its proper divisors (76096904880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31001240400 is a wasteful number, since it uses less digits than its factorization.

31001240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 31001240400 its reverse (404210013), we get a palindrome (31405450413).

The spelling of 31001240400 in words is "thirty-one billion, one million, two hundred forty thousand, four hundred".